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On the resonant interaction of neutral disturbances in two inviscid shear flows

Published online by Cambridge University Press:  28 March 2006

R. E. Kelly
R. E. Kelly
Affiliation:
Department of Engineering, University of California, Los Angeles
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Abstract

The second-order resonant interaction of two disturbances which are neutrally stable on a linear basis is investigated for cases when the mean flow is, first, an inviscid, homogeneous jet and, secondly, a stably stratified, antisymmetric shear layer for which the linear eigen-solutions are regular. For the former case, the periodic nature of the neutral disturbances is unaffected by the interaction. For the latter, the interaction can lead to an O(ε½) temporal growth rate of one disturbance, where ε is a characteristic disturbance amplitude.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 4 , 18 March 1968 , pp. 789 - 799
Copyright
© 1968 Cambridge University Press

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